Question
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The proportion of TikTok users ages is estimated to be . In a randomly selected sample of 147 TikTok users, find
the probability that you observe or less users aged .
You may use the Normal Distribution tool. Mean should not be rounded, standard deviation may be rounded to four decimal
places.
Round proportions to four decimal places or percentages to two decimal places. If entering a
percentage, include the % symbol.

Ask by Pena Murphy. in the United States
Mar 15,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The probability that 20% or fewer of the 147 TikTok users are aged 40-49 is approximately 47.21%.

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Bonus Knowledge

To find the probability that you observe or less users aged in a sample of TikTok users, we’ll use the normal approximation to the binomial distribution. First, we need to determine the mean and standard deviation for the binomial distribution.
  1. Calculate the Mean ( ):
  2. Calculate the Standard Deviation ( ):
  3. Convert the proportion of users (20%) to the number of users:
    Since we can’t have a fraction of a user, we consider (which is the closest whole number).
  4. Standardize (convert to a Z-score):
  5. Find the Probability:
    Now we will look up the Z-score of in the standard normal distribution table or use a calculator.
    The probability corresponding to a Z-score of is approximately (or ).
Therefore, the probability that you observe or less users aged in a randomly selected sample of TikTok users is approximately 42.66%.

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